A319601 Number of plane partitions of n into parts of sorts {1, 2, ... }.

1, 1, 7, 46, 427, 4266, 56424, 772888, 12882984, 226946552, 4546150566, 95857685949, 2267911223257, 55671787777419, 1496799152925925, 42138629446101195, 1273072014409479719, 40078261700215782164, 1346081462070844724125, 46899893904515009262290

Offset: 0

Author

Alois P. Heinz, Sep 24 2018

Keywords

• nonn

Comments

All sorts up to the highest have to be present.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..50
• Eric Weisstein's World of Mathematics, Plane partition
• Wikipedia, Plane partition

Crossrefs

Row sums of A319600.

Cf. A000219.

Formula

a(n) = Sum_{k=0..n} A319600(n,k).